Advantages of the Complex Taylor Series Expansion Method for determining Circuit Outputs

dc.contributor.author	Roussel, Zachary
dc.date.accessioned	2020-05-20T17:05:24Z
dc.date.available	2020-05-20T17:05:24Z
dc.date.issued	2017-08-31
dc.description.abstract	The complex Taylor series expansion (CTSE) is a method to compute derivatives numerically with machine precision for real valued functions. This method converts a real-valued function to complex-valued and introduces a small imaginary step to the parameter of interest. In this work, CTSE had been used in an electrical circuit to find the current flowing through a capacitor with respect to the voltage across the capacitor, where the voltage across the capacitor is a complicated solution of a differential equation. The advantage of CTSE is that it can be used to find accurate derivatives of arbitrary functions. A limitation of CTSE is that it can only be used to compute the first order derivative of a function. A numerical example is presente to demonstrate the accuracy of the method.	en_US
dc.identifier.issn	2470-3958
dc.identifier.uri	https://hdl.handle.net/20.500.12588/51
dc.language.iso	en_US	en_US
dc.publisher	Office of the Vice President for Research	en_US
dc.relation.ispartofseries	The UTSA Journal of Undergraduate Research and Scholarly Work;Volume 2
dc.subject	Electrical Circuits	en_US
dc.subject	Complex Taylors Series Expansion	en_US
dc.subject	Sensitivities	en_US
dc.title	Advantages of the Complex Taylor Series Expansion Method for determining Circuit Outputs	en_US
dc.type	Article	en_US

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